The question asks about the order of rotational symmetry of an isosceles triangle, with several options provided.

Solution:

• Rotational symmetry means a figure can be rotated (less than a full turn, 360°) and still look exactly the same.
• An isosceles triangle has exactly one line of symmetry, and it does not possess rotational symmetry other than at 360° (a full rotation).

Thus, the correct answer is:

An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

Explanation:

1. The "order of rotational symmetry" is the number of times the shape matches itself during a 360° rotation.
2. Since an isosceles triangle only aligns with itself once during a full rotation (at 360°), it has an order of rotational symmetry = 1.

Would you like further details or clarification?

Relative Questions:

1. What is the order of rotational symmetry for an equilateral triangle?
2. How does the number of lines of symmetry relate to rotational symmetry?
3. Can any triangle have an order of rotational symmetry greater than 1? Why or why not?
4. What is the rotational symmetry of a scalene triangle?
5. How can you calculate the angle of rotation for polygons with rotational symmetry?

Tip:

When solving for rotational symmetry, remember that the shape must align with itself at least once before completing 360°.